Details

sample190.0ms

Algorithm

intervals

Results

65.0ms	265×	body	10240	exit
55.0ms	69×	body	640	valid
47.0ms	113×	body	1280	valid
6.0ms	43×	body	320	valid
1.0ms	14×	body	160	valid
1.0ms	17×	body	80	valid

simplify3.8s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	15	13
2	25	13
3	31	13
4	42	13
5	52	13
6	55	13
7	87	13
8	100	13
9	136	13
10	201	13
11	355	13
12	892	13
13	2913	13
done	5000	13

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.3b

localize9.0ms

Local error

Found 2 expressions with local error:

2.2b	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
3.5b	(- (exp x) (exp (- x)))

rewrite136.0ms

Algorithm

rewrite-expression-head

Rules

37×	`*-un-lft-identity`
25×	`add-sqr-sqrt`
20×	`times-frac`
13×	`add-cube-cbrt`
6×	`distribute-lft-out` `distribute-lft-out--` `difference-of-squares`
5×	`associate-/l*`
4×	`add-exp-log` `associate-/r*` `add-cbrt-cube` `add-log-exp`
2×	`pow1` `flip3--` `associate-/r/` `flip--` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `flip3-+` `diff-log` `div-sub` `tanh-undef` `div-exp` `clear-num` `flip-+` `div-inv`

Counts

2 → 61

Calls

2 calls:

113.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
18.0ms	(- (exp x) (exp (- x)))

series178.0ms

Counts

2 → 6

Calls

2 calls:

129.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
49.0ms	(- (exp x) (exp (- x)))

simplify1.5s

Counts

67 → 67

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	106	1228
1	250	1185
2	650	1107
3	1646	1103
done	5001	1095

prune215.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b

(tanh x)

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `tanh-def` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

3.0ms

(tanh x)

series99.0ms

Counts

1 → 3

Calls

1 calls:

99.0ms

(tanh x)

simplify2.0s

Counts

13 → 13

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	42	107
1	89	83
2	194	79
3	549	79
4	2651	79
done	5001	79

prune28.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
0.1b	(* 2/15 (pow x 5))
0.1b	(* 1/3 (pow x 3))

rewrite97.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt`
19×	`associate-r`
13×	`add-exp-log`
10×	`add-cube-cbrt` `*-un-lft-identity`
8×	`unpow-prod-down` `add-log-exp`
7×	`add-cbrt-cube` `unswap-sqr`
6×	`associate-l` `prod-exp`
4×	`cube-prod` `sqr-pow`
3×	`pow1`
2×	`pow-to-exp` `diff-log` `pow-exp` `*-commutative` `cbrt-unprod`
1×	`cube-mult` `sub-neg` `flip3--` `unpow3` `associate--l+` `sum-log` `flip--`

Counts

3 → 70

Calls

3 calls:

60.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
13.0ms	(* 2/15 (pow x 5))
21.0ms	(* 1/3 (pow x 3))

series191.0ms

Counts

3 → 9

Calls

3 calls:

63.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
83.0ms	(* 2/15 (pow x 5))
44.0ms	(* 1/3 (pow x 3))

simplify3.8s

Counts

79 → 79

Iterations

Useful iterations: 3 (987.0ms)

Iter	Nodes	Cost
0	121	815
1	280	726
2	826	684
3	4113	675
done	5001	675

prune186.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (exp (* 2 x)) 1)
1.0b	(/ (+ (exp (* 2 x)) -1) (+ (exp (* 2 x)) 1))
3.7b	(+ (exp (* 2 x)) -1)

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

40×	`*-un-lft-identity`
20×	`add-sqr-sqrt` `times-frac`
14×	`add-cube-cbrt`
13×	`distribute-lft-out`
7×	`add-log-exp`
6×	`difference-of-sqr--1`
5×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
4×	`flip3-+` `associate-/r*` `flip-+`
3×	`pow1`
2×	`+-commutative` `sum-log` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv`

Counts

3 → 70

Calls

3 calls:

21.0ms	(+ (exp (* 2 x)) 1)
45.0ms	(/ (+ (exp (* 2 x)) -1) (+ (exp (* 2 x)) 1))
16.0ms	(+ (exp (* 2 x)) -1)

series143.0ms

Counts

3 → 9

Calls

3 calls:

17.0ms	(+ (exp (* 2 x)) 1)
91.0ms	(/ (+ (exp (* 2 x)) -1) (+ (exp (* 2 x)) 1))
35.0ms	(+ (exp (* 2 x)) -1)

simplify2.3s

Counts

79 → 79

Iterations

Useful iterations: 3 (1.0s)

Iter	Nodes	Cost
0	112	1343
1	269	1290
2	664	1180
3	2192	1147
done	5000	1147

prune225.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes20.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2	2
done	2	2

end0.0ms

sample8.4s

Algorithm

intervals

Results

4.6s	7566×	body	10240	exit
2.2s	3317×	body	1280	valid
870.0ms	2428×	body	640	valid
244.0ms	1209×	body	320	valid
75.0ms	606×	body	160	valid
28.0ms	440×	body	80	valid